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Finding the Third Proportional to 133,719.50 and 291,421

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Solution

The third proportional to 133,719.50 and 291,421 is: 635,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,719.50 : 291,421 = 291,421 : x
  2. Step 2: Convert to fraction form
    133,719.50/291,421 = 291,421/x
  3. Step 3: Cross multiply
    133,719.50x = 291,421 × 291,421
  4. Step 4: Simplify right side
    133,719.50x = 84,926,199,241
  5. Step 5: Solve for x
    x = 84,926,199,241/133,719.50
  6. Step 6: Final answer
    x = 635,107.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.